Magnon Dispersion Analysis

RIXS spectra are displayed as waterfall plots with fitted magnon peak positions marked by errorbars. Each spectrum is colored according to its position in the Brillouin zone using $\sqrt{H^2 + K^2}$ as the color value.

Data Filtering

Only data points with magnon energy uncertainty below 0.08 eV are shown.

Magnon Peak Position

The displayed magnon peak position is determined by finding the maximum of the DHO (Damped Harmonic Oscillator) broadened curve, which accounts for the instrumental resolution convolution.

The magnon dispersion is visualized as a scatter plot in the H-K momentum plane, with each point colored by its magnon energy $\omega_0$.

Data Selection

• Only fits with uncertainty $\sigma_{\omega_0} < 0.05$ eV are included
• Magnon energy is computed as $\omega_0 = E_{\text{magnon}} - E_{\text{elastic}}$

Color Scale

Points are colored using a perceptually uniform colormap (tropical), where warmer colors indicate higher magnon energies.

The magnon dispersion is extracted along two high-symmetry directions in the Brillouin zone:

Direction 1: H + K = 0 (Diagonal)

Points satisfying $|H + K| < 0.08$ are selected along the zone diagonal.

Direction 2: H - K = 0.5

Points satisfying $|H - K - 0.5| < 0.08$ are selected along this perpendicular cut.

Error Bars

Vertical error bars represent the uncertainty in the fitted magnon frequency $\omega_0$.

The magnon dispersion is visualized in 3D with: - X-Y plane: Momentum coordinates (H, K) in reciprocal lattice units - Z-axis: Magnon energy $\omega_0$ in eV

Visualization Features

• Vertical stems: Lines from the H-K plane to the magnon energy height
• Color coding: Points colored by magnon energy using the same colormap
• High-symmetry lines:
• Orange line: H + K ≈ 0 direction
• Blue line: H - K = 0.5 direction

Data Filtering

Only fits with uncertainty $\sigma_{\omega_0} < 0.05$ eV are displayed.